Instead of putting the two left over biscuits back in the tin, you might instead decide to break them into halves and then give one of the resulting four halves to each person so that everyone receives a total of one and a half biscuits. In this case, the answer has to be expressed as a fraction or the equivalent decimal number:

6 ÷ 4 = 1½

6 ÷ 4 = 1.5

A fraction is really just another way of expressing a division because ½ means

A spray diagram can help with note-making. In this section, I want to go a little further and show how you can use diagrams to help you understand what someone else has written. Here, it doesn't matter how well you can draw, as long as the finished diagram makes sense to you. As you become more confident at drawing diagrams for yourself, you will be able to move on to drawing diagrams for others.

At this stage, you may still have doubts about the value of diagrams for understandi

This course presents Maxwell's greatest triumph – the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light is itself an electromagnetic wave. Visible light has a very narrow range of wavelengths, but this tells us more about the sensitivity of our eyes than about the nature of electromagnetic radiation. A few years after Maxwell's death other types of electromagnetic radiation, including radio waves, X-rays and gamma rays, wer

Literary Festival 2016: The Future City: cruel or consoling Utopia? [Audio] Speaker(s): Darran Anderson, Dr Matthew Beaumont, Professor Rachel Cooper | The Future City, as an idea that often relies upon Utopian thinking to sustain itself, can be as cruel as it is consoling. Even as it makes possible investment into urban space as a site of future fulfilment, it regularly fails to deliver upon this promise. This panel asks what futures such Utopian thinking makes available for the city and what present realities it denies? It will query more specifically the Utopias thatAuthor(s): No creator set

Enid and Sarah mentioned relatives and friends, but the others sounded as if they were managing on their own, or within their immediate family unit. Care work can be an isolating experience. The hours are long. Sometimes they are unpredictable, and being cared for doesn't always mean that you're necessarily going to be able to have the time or energy to develop other relationships. You might like to consider whether demographic changes are likely to have an effect on who is available for care

The ability to self-assess your work is a critical skill for you to develop if you want to improve your performance. If you can assess your own work accurately and identify the gap between what is required and what you are producing, you are more likely to be able to close the gap. But making an accurate and honest self-assessment is not an easy skill to develop, even though it is crucial in learning how to learn. Some courses do ask you to self-assess your work and submit your comments as pa

Maps play a fundamental role in the functioning of modern Western societies. They are important as legal documents in both the public and private spheres: your proof of the boundaries of your property as well as the location of international borders. Maps are important in military campaigns, territorial disputes, explorations for mineral resources. Maps may be a source of conflict and competing claims to land and water. In some cases the conflicts are also cross-cultural. Western-style corpor

Children living in different settings Most children live with a parent or parents, with siblings and relatives and with family pets in the family home, but many children do not live with their parents or even with their families. They may live elsewhere through choice or necessity, but whatever the event that causes them to move away from their parents or families, the significance of moving in a child's life can be considerable. This free course, Children living in different settings, will be of interest to anyone who supports chilAuthor(s): Creator not set

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In the previous section you have been studying time: now you need to move on to that other great regulator of human activity – place. You may already have a firm grip of the geography of the Mediterranean region and this will give you a head start, but as you will discover, places in the past were not the same as they are now. The course team have prepared a variety of learning materials for registered students to master the geography of the ancient Mediterranean, and this unit gives you a

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Looking at the body this way means thinking about things as small as atoms and molecules, and as large as whole body parts. This allows us to think about how everything works at an appropriate level. If we want to understand breathing, for example, we need to think about tiny things such as the oxygen molecules that are absorbed in the body. Similarly, if we want to understand eating, we have to think of complicated internal structures such as the stomach. If we want to understand how the bod

Just as there is a one-one correspondence between the real numbers and the points on the real line, so there is a one-one correspondence between the complex numbers and the points in the plane. This correspondence is given by

Thus we can represent points in the plane by compl

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